Ionic Solids: Structures and Coordination Numbers

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Questions and Answers

In an ionic solid, what is the primary force holding the ions together?

  • Magnetic forces
  • Nuclear forces
  • Gravitational forces
  • Electrostatic attractions (correct)

What is a 'unit cell' in the context of ionic compounds?

  • The total number of ions in a crystal
  • The largest repeating unit in a crystal lattice
  • The smallest repeating unit in a crystal lattice (correct)
  • A single molecule of the ionic compound

What is the coordination number of $Cs^+$ in the Cesium Chloride ($CsCl$) structure?

  • 12
  • 8 (correct)
  • 4
  • 6

Which of the following statements correctly describes the Cesium Chloride ($CsCl$) structure?

<p>Cesium ions ($Cs^+$) form a simple cubic lattice with chloride ions ($Cl^-$) at the body center. (A)</p> Signup and view all the answers

In the Rock Salt (NaCl) structure, what type of holes do the sodium ions ($Na^+$) fit into?

<p>Octahedral holes (C)</p> Signup and view all the answers

What is the coordination number of $Cl^-$ in the Sodium Chloride ($NaCl$) structure?

<p>6 (D)</p> Signup and view all the answers

In the Zinc Blende (ZnS) structure, what fraction of tetrahedral holes are occupied?

<p>1/2 (C)</p> Signup and view all the answers

What is a key characteristic of the Fluorite ($CaF_2$) structure regarding the location of the cation ($Ca^{2+}$)?

<p>It forms a face-centered arrangement (A)</p> Signup and view all the answers

In the Fluorite ($CaF_2$) structure, what is the coordination number of the fluoride ion ($F^-$)?

<p>4 (A)</p> Signup and view all the answers

How does the arrangement of ions in the antifluorite structure ($Li_2O$) compare to that of the fluorite structure ($CaF_2$)?

<p>The cation and anion positions are reversed. (C)</p> Signup and view all the answers

Flashcards

Crystal Structure

A repeating arrangement of atoms, molecules, or ions in a solid.

Coordination Number

The number of ions surrounding a central ion in a crystal lattice.

Unit Cell

The smallest repeating unit within a crystal lattice that retains the structure's symmetry.

Cesium Chloride Structure

Structure with Cesium ions at the body center and Chloride ions at the corners of the cube

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Rock Salt Structure

Structure with ions arranged in a face-centered cubic (FCC) lattice with alternating ions.

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Zinc Blende Structure

Structure with face-centered arrangement and Zinc ions occupying half of the tetrahedral holes

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Fluorite Structure

Structure with Calcium ions in face-centered arrangement and Fluoride ions filling all tetrahedral holes.

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Antifluorite Structure

Structure with Lithium ions in tetrahedral holes

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Anion

An ion with a negative charge.

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Study Notes

Structures of Ionic Solids

  • Involve two or more ions
  • Oppositely charged ions are held together with electrostatic attractions
  • Attractive forces are maximized when each ion is surrounded by ions of opposite charge
  • Form 3D crystal structures with alternating ions
  • The sum of all the positive charges equals the sum of all the negative charges

Coordination Numbers

  • Describes the number of ions surrounding a central ion
  • Cation Coordination Number (CN) = the number of anions surrounding the cation
  • Anion Coordination Number = the number of cations surrounding the anion
  • Coordination numbers of both ions are the same unless the number of ions differ like in NaCl vs CaCl₂
  • A unit cell for an ionic compound is the smallest repeating unit, usually a "face" of the unit cell

Cesium Chloride Structure (CsCl)

  • Body-centered structure with Cesium (Cs⁺) cations filling cubic holes in the center of the cube
  • Ratio of 1:1
  • Coordination Number (CN) of Cs⁺ = 8 Cl⁻ anions since Cs⁺ is surrounded by 8 Cl⁻ anions in a cubic arrangement
  • There are 2 atoms
    • 1 Cesium
    • 1 Chlorine
  • 1 Cs⁺ Cation in the center of the cube
  • 1 Cl⁻ anion at each of the 8 corners * ⅛ = 1 Cl⁻ anion
  • Cl⁻ coordination number is 8, and the structure is surrounded by 8 Cs⁺ cations
  • The structure is BCC
  • Cs⁺ coordination number is 8

Rock Salt/Sodium Chloride Structure (NaCl)

  • The structure is face-centered and has 2 hole types
  • There are 8 atoms
    • 4 Chlorine
    • 4 Sodium

Octahedral Holes

  • Each hole is surrounded by 6 spheres
  • The CN is 6
  • The holes are larger than tetrahedral holes

Tetrahedral Holes

  • Each hole is surrounded by 4 spheres
  • A cation in a tetrahedral hole is surrounded by 4 anions
  • CN = 4
  • There are 2x as many tetrahedral holes as octahedral holes

Cubic-Close Packed (FCC) Arrangement

  • Cl⁻ ions are in a face-centered cubic arrangement
  • Na⁺ ions fit into octahedral holes
  • CN of Cl⁻ = 6, with 4 Cl⁻ anions
  • CN of Na⁺ = 6, with 4 Na⁺ cations

Zinc Blende/Zinc Sulfide Structure (ZnS)

  • A face-centered structure with 8 tetrahedral holes
  • Zinc (Zn²⁺) actually only occupies half of the tetrahedral holes, so only 4

Ions

  • Has Zinc Ions (Zn²⁺) and Sulfide Ions (S²⁻)
  • Zn²⁺ ions positioned internally are completely inside the unit cell
  • CN: 4
  • 4 Sulfide ions occupies half of the 8 tetrahedral holes
  • CN: 4
  • Has 8 atoms
    • 4 Zn²⁺
    • 4 S²⁻

Fluorite/Calcium Fluoride Structure (CaF₂)

  • A face-centered structure with 8 tetrahedral holes
  • For cation "face"
  • Ratio of 2 Fluoride to every calcium
  • Calcium ions (Ca²⁺) are surrounded by 8 Fluoride anions
  • CN = 8
  • Fluoride fills all 8 tetrahedral holes
  • 12 atoms
    • 4 Calcium
    • 8 Fluoride

Antifluorite Structure (Li₂O)

  • A face-centered structure with 8 tetrahedral holes
  • Lithium (Li⁺) cation surrounded by 4 Oxide (O²⁻) anions
  • CN = 4
  • 4 cubic
  • Oxide (O²⁻) ions are surrounded by 8 Lithium (Li⁺) cations
  • CN = 8
  • Has 12 atoms
    • 8 Lithium
    • 4 Oxide

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